3213493640 has 64 divisors (see below), whose sum is σ = 8288472960. Its totient is φ = 1098408960.

The previous prime is 3213493631. The next prime is 3213493643. The reversal of 3213493640 is 463943123.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3213493640.

It is not an unprimeable number, because it can be changed into a prime (3213493643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75344 + ... + 110016.

It is an arithmetic number, because the mean of its divisors is an integer number (129507390).

Almost surely, 2^3213493640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3213493640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4144236480).

3213493640 is an abundant number, since it is smaller than the sum of its proper divisors (5074979320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3213493640 is a wasteful number, since it uses less digits than its factorization.

3213493640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35022 (or 35018 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 35.

The square root of 3213493640 is about 56687.6850823880. The cubic root of 3213493640 is about 1475.6809863256.

The spelling of 3213493640 in words is "three billion, two hundred thirteen million, four hundred ninety-three thousand, six hundred forty".